Lesson plan
Square-root sum problem
The square-root sum problem (SRS) is a computational decision problem from the field of numerical analysis, with applications to computational geometry. The problem was posed in 1981, and likely earlier. SRS is defined as follows: :Given positive integers a_1,\ldots,a_k and an integer t, decide whether \sum_{i=1}^k \sqrt{a_i} \leq t . An alternative definition is: :Given positive integers a_1,\ldots,a_k and b_1,\ldots,b_k , decide whether \sum_{i=1}^k \sqrt{a_i} \leq \sum_{i=1}^k \sqrt{b_i} .
Article summary
The square-root sum problem (SRS) is a computational decision problem from the field of numerical analysis, with applications to computational geometry. The problem was posed in 1981, and likely earlier. SRS is defined as follows: :Given positive integers a_1,\ldots,a_k and an integer t, decide whether \sum_{i=1}^k \sqrt{a_i} \leq t . An alternative definition is: :Given positive integers a_1,\ldots,a_k and b_1,\ldots,b_k , decide whether \sum_{i=1}^k \sqrt{a_i} \leq \sum_{i=1}^k \sqrt{b_i} .
Key claims
No claims recorded.
Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
No sources recorded.
Key claims and bibliography are generated from the same tracked claims and sources as the article page.